Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Lower and upper Loeb-integrals


Authors: D. Landers and L. Rogge
Journal: Trans. Amer. Math. Soc. 358 (2006), 3263-3283
MSC (2000): Primary 28E05; Secondary 26E35
DOI: https://doi.org/10.1090/S0002-9947-06-04042-6
Published electronically: March 24, 2006
MathSciNet review: 2218975
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We introduce the concepts of lower and upper Loeb-integrals for an internal integration structure. These are concepts which are similarly useful for Loebs internal integration theory as the concepts of inner and outer Loeb-measures for Loebs measure theory.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 28E05, 26E35

Retrieve articles in all journals with MSC (2000): 28E05, 26E35


Additional Information

D. Landers
Affiliation: Mathematisches Institut der Universität zu Köln, Weyertal 86, D–50931 Köln, Germany
Email: landers@mi.uni-koeln.de

L. Rogge
Affiliation: Fachbereich Mathematik der Gerhard-Mercator-Universität GHS Duisburg, Lotharstrasse 65, D–47048 Duisburg, Germany
Email: rogge@math.uni-duisburg.de

DOI: https://doi.org/10.1090/S0002-9947-06-04042-6
Keywords: Loeb-measure, Loeb-integral, $\tau$-continuity
Received by editor(s): October 5, 2001
Published electronically: March 24, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.